10725246000 has 240 divisors, whose sum is σ = 42811599168. Its totient is φ = 2451456000.

The previous prime is 10725245959. The next prime is 10725246011. The reversal of 10725246000 is 64252701.

10725246000 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 52 + 4 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83440 + ... + 168560.

Almost surely, 2^10725246000 is an apocalyptic number.

10725246000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10725246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21405799584).

10725246000 is an abundant number, since it is smaller than the sum of its proper divisors (32086353168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10725246000 is a wasteful number, since it uses less digits than its factorization.

10725246000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85157 (or 85138 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 10725246000 its reverse (64252701), we get a palindrome (10789498701).

The spelling of 10725246000 in words is "ten billion, seven hundred twenty-five million, two hundred forty-six thousand".